On functions that solve Mulholland inequality and on compositions of such functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F13%3A00395819" target="_blank" >RIV/67985807:_____/13:00395819 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.2991/eusflat.2013.76" target="_blank" >http://dx.doi.org/10.2991/eusflat.2013.76</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2991/eusflat.2013.76" target="_blank" >10.2991/eusflat.2013.76</a>

Result language
angličtina
Original language name
On functions that solve Mulholland inequality and on compositions of such functions
Original language description
Two results related to Mulholland inequality are presented. First, there are functions that are not geo-convex but solve Mulholland inequality; thus Mulholland's condition is not necessary. Second, the set of functions that solve Mulholland inequality isnot closed with respect to compositions. As a corollary, the dominance relation on the set of strict triangular norms is not transitive. The proofs of both the results are of geometric nature and benefit from the level set plots of the pseudo-additionsgenerated by the functions in question.
Czech name
—
Czech description
—

Project
<a href="/en/project/GPP201%2F12%2FP055" target="_blank" >GPP201/12/P055: Geometry of associative structures</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 8th Conference of the European Society for Fuzzy Logic and Technology EUSFLAT 2013
ISBN
978-1-62993-219-4
ISSN
—
e-ISSN
—
Number of pages
6
Pages from-to
543-548
Publisher name
Atlantis Press
Place of publication
Paris
Event location
Milan
Event date
Sep 11, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000327668700076

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